The Logic of Partitions: With Two Major Applications - Tapa blanda

Ellerman, David

 
9781848904408: The Logic of Partitions: With Two Major Applications
Tapa blanda
ISBN 10: 1848904401 ISBN 13: 9781848904408
Editorial: College Publications, 2023

Sinopsis

This book is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as the special case of propositional logic).


Since partitions can be seen as the inverse image partitions of random variables or numerical attributes, partition logic is the logic of random variables or numerical attributes (abstracted from the actual values). On the lattice of partitions of an arbitrary unstructured set, there is a rich algebraic structure of dual operations of implication and co-implication - resembling a non-distributive version of Heyting and co-Heyting algebras.


"Sinopsis" puede pertenecer a otra edición de este libro.

Editorial
College Publications
Año de publicación
2023
Idioma
Inglés
ISBN 10 
1848904401
ISBN 13 
9781848904408
Encuadernación
Tapa blanda
Número de páginas
198
Contacto del fabricante
no disponible
Persona responsable
no disponible